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22797440 = 275179199
BaseRepresentation
bin101011011110…
…1110010000000
31120220020012122
41112331302000
521314004230
62132343412
7364526561
oct126756200
946806178
1022797440
1111961066
127774b68
134952813
143056168
152004be5
hex15bdc80

22797440 has 64 divisors (see below), whose sum is σ = 55080000. Its totient is φ = 9022464.

The previous prime is 22797433. The next prime is 22797443. The reversal of 22797440 is 4479722.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 22797440.

It is not an unprimeable number, because it can be changed into a prime (22797443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114461 + ... + 114659.

It is an arithmetic number, because the mean of its divisors is an integer number (860625).

Almost surely, 222797440 is an apocalyptic number.

22797440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27540000).

22797440 is an abundant number, since it is smaller than the sum of its proper divisors (32282560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22797440 is a wasteful number, since it uses less digits than its factorization.

22797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 22797440 is about 4774.6664804989. Note that the first 3 decimals coincide. The cubic root of 22797440 is about 283.5493746348.

The spelling of 22797440 in words is "twenty-two million, seven hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 179 199 320 358 398 640 716 796 895 995 1432 1592 1790 1990 2864 3184 3580 3980 5728 6368 7160 7960 11456 12736 14320 15920 22912 25472 28640 31840 35621 57280 63680 71242 114560 127360 142484 178105 284968 356210 569936 712420 1139872 1424840 2279744 2849680 4559488 5699360 11398720 22797440